Add 40/27 and 21/16
1st number: 1 13/27, 2nd number: 1 5/16
40/27 + 21/16 is 1207/432.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 16 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 27 × 16 = 432,
40/27 = 40 × 16/27 × 16 = 640/432 - Likewise, for the 2nd fraction, since 16 × 27 = 432,
21/16 = 21 × 27/16 × 27 = 567/432 - Add the two like fractions:
640/432 + 567/432 = 640 + 567/432 = 1207/432 - So, 40/27 + 21/16 = 1207/432
In mixed form: 2343/432
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/27+21/16 40/27+42/16 40/54+21/16 40/27+21/32 40/27+63/16 40/81+21/16 40/27+21/48 40/27+21/80